Search a number
-
+
200939250 = 23531959239
BaseRepresentation
bin10111111101000…
…01011011110010
3112000002202211110
423332201123302
5402420024000
631534454150
74656645501
oct1376413362
9460082743
10200939250
11a34746a6
1257364356
1332825985
141c988838
1512992850
hexbfa16f2

200939250 has 128 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 49694400.

The previous prime is 200939239. The next prime is 200939251. The reversal of 200939250 is 52939002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (200939251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840631 + ... + 840869.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2200939250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200939250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

200939250 is an abundant number, since it is smaller than the sum of its proper divisors (338196750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200939250 is a wasteful number, since it uses less digits than its factorization.

200939250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 200939250 is about 14175.3042295395. The cubic root of 200939250 is about 585.7175795118.

The spelling of 200939250 in words is "two hundred million, nine hundred thirty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 59 75 95 114 118 125 150 177 190 239 250 285 295 354 375 475 478 570 590 717 750 885 950 1121 1195 1425 1434 1475 1770 2242 2375 2390 2850 2950 3363 3585 4425 4541 4750 5605 5975 6726 7125 7170 7375 8850 9082 11210 11950 13623 14101 14250 14750 16815 17925 22125 22705 27246 28025 28202 29875 33630 35850 42303 44250 45410 56050 59750 68115 70505 84075 84606 89625 113525 136230 140125 141010 168150 179250 211515 227050 267919 280250 340575 352525 420375 423030 535838 567625 681150 705050 803757 840750 1057575 1135250 1339595 1607514 1702875 1762625 2115150 2679190 3405750 3525250 4018785 5287875 6697975 8037570 10575750 13395950 20093925 33489875 40187850 66979750 100469625 200939250